Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
24201	Find the Critical Points	f(x)=(4-x^2)^(2/3)	$f (x) = {(4 - x^{2})}^{\frac{2}{3}}$
24202	Find the Critical Points	f(x)=(x^3)/((x^2)-25)	$f (x) = \frac{x^{3}}{(x^{2}) - 25}$
24203	Find the Critical Points	f(x)=-x/(7x^2+1)	$f (x) = - \frac{x}{7 x^{2} + 1}$
24204	Evaluate the Integral	integral of 10/x with respect to x	$\int \frac{10}{x} d x$
24205	Find the Critical Points	f(x)=x/(x^2+100)	$f (x) = \frac{x}{x^{2} + 100}$
24206	Find the Critical Points	f(x) = cube root of x+4	$f (x) = \sqrt[3]{x + 4}$
24207	Find the Critical Points	f(x) = cube root of x^4- cube root of x^2	$f (x) = \sqrt[3]{x^{4}} - \sqrt[3]{x^{2}}$
24208	Evaluate the Summation	sum from n=1 to 6 of (1/4)^(n-1)	$\sum_{n = 1}^{6} {(\frac{1}{4})}^{n - 1}$
24209	Find the Critical Points	f(x) = cube root of x	$f (x) = \sqrt[3]{x}$
24210	Find the Critical Points	f(x) = square root of x+3	$f (x) = \sqrt{x + 3}$
24211	Find the Critical Points	f(x) = square root of x^2-1	$f (x) = \sqrt{x^{2} - 1}$
24212	Find the Critical Points	f(x) = square root of x^2-4	$f (x) = \sqrt{x^{2} - 4}$
24213	Find the Critical Points	f(x) = square root of 36-x^2	$f (x) = \sqrt{36 - x^{2}}$
24214	Find the Critical Points	f(x) = square root of 25-x^2	$f (x) = \sqrt{25 - x^{2}}$
24215	Find the Critical Points	f(x) = square root of 49-x^2	$f (x) = \sqrt{49 - x^{2}}$
24216	Find the Critical Points	f(x) = square root of 81-x^2	$f (x) = \sqrt{81 - x^{2}}$
24217	Find the Critical Points	f(x)=5/(3x-2)	$f (x) = \frac{5}{3 x - 2}$
24218	Find the Critical Points	f(x)=8/3x^3-41/2x^2+5x+8	$f (x) = \frac{8}{3} x^{3} - \frac{41}{2} x^{2} + 5 x + 8$
24219	Find the Critical Points	f(x)=x^(1/3)+x^(4/3)	$f (x) = x^{\frac{1}{3}} + x^{\frac{4}{3}}$
24220	Find the Critical Points	f(x)=x^(1/3)(x-4)	$f (x) = x^{\frac{1}{3}} (x - 4)$
24221	Find the Critical Points	f(x)=x^(1/7)(x+8)	$f (x) = x^{\frac{1}{7}} (x + 8)$
24222	Find the Critical Points	f(x)=x^(10/11)-x^(21/11)	$f (x) = x^{\frac{10}{11}} - x^{\frac{21}{11}}$
24223	Find the Critical Points	f(x)=x^(3/4)-4x^(1/4)	$f (x) = x^{\frac{3}{4}} - 4 x^{\frac{1}{4}}$
24224	Find the Critical Points	f(x)=x^(3/2)-x^(1/2)	$f (x) = x^{\frac{3}{2}} - x^{\frac{1}{2}}$
24225	Find the Critical Points	f(x)=x^(4/3)+4x^(1/3)	$f (x) = x^{\frac{4}{3}} + 4 x^{\frac{1}{3}}$
24226	Find the Critical Points	f(x)=x^(6/7)-x^(13/7)	$f (x) = x^{\frac{6}{7}} - x^{\frac{13}{7}}$
24227	Find the Critical Points	F(x)=x^(4/5)(x-2)^2	$F (x) = x^{\frac{4}{5}} {(x - 2)}^{2}$
24228	Find the Critical Points	f(x)=x^(3/5)(4-x)	$f (x) = x^{\frac{3}{5}} (4 - x)$
24229	Find the Critical Points	f(x)=x^2+8x+10	$f (x) = x^{2} + 8 x + 10$
24230	Find the Critical Points	f(x)=x^(8/9)-x^(17/9)	$f (x) = x^{\frac{8}{9}} - x^{\frac{17}{9}}$
24231	Find the Critical Points	f(x)=x^2(x^2-4)	$f (x) = x^{2} (x^{2} - 4)$
24232	Find the Critical Points	f(x)=-x^2+10x	$f (x) = - x^{2} + 10 x$
24233	Find the Critical Points	f(x)=x^2+18x+2	$f (x) = x^{2} + 18 x + 2$
24234	Find the Critical Points	f(x)=x^2+54/x	$f (x) = x^{2} + \frac{54}{x}$
24235	Find the Critical Points	f(x)=x^3+x^2-5x-5	$f (x) = x^{3} + x^{2} - 5 x - 5$
24236	Find the Critical Points	f(x)=-x^3+27x	$f (x) = - x^{3} + 27 x$
24237	Find the Horizontal Tangent Line	y(x)=(6x)/((x-9)^2)	$y (x) = \frac{6 x}{{(x - 9)}^{2}}$
24238	Find the Critical Points	f(x)=x^2-2x+3	$f (x) = x^{2} - 2 x + 3$
24239	Find the Critical Points	f(x)=x^2-4x+9	$f (x) = x^{2} - 4 x + 9$
24240	Find the Critical Points	f(x)=-x^2-4x-5	$f (x) = - x^{2} - 4 x - 5$
24241	Find the Critical Points	f(x)=x^2-4x-8	$f (x) = x^{2} - 4 x - 8$
24242	Find the Critical Points	f(x)=x^2-500 square root of x	$f (x) = x^{2} - 500 \sqrt{x}$
24243	Find the Critical Points	f(x)=x^2-32 square root of x-2	$f (x) = x^{2} - 32 \sqrt{x} - 2$
24244	Find the Critical Points	f(x)=x^2-4x+1	$f (x) = x^{2} - 4 x + 1$
24245	Find the Critical Points	f(x)=x^2-12x+9	$f (x) = x^{2} - 12 x + 9$
24246	Find the Critical Points	f(x)=-x^2-10x-25	$f (x) = - x^{2} - 10 x - 25$
24247	Find the Critical Points	f(x)=x^2-256 square root of x	$f (x) = x^{2} - 256 \sqrt{x}$
24248	Find the Horizontal Tangent Line	y=x^2-7	$y = x^{2} - 7$
24249	Find the Horizontal Tangent Line	f(x)=(x^2)/(x-1)	$f (x) = \frac{x^{2}}{x - 1}$
24250	Find the Horizontal Tangent Line	f(x)=x^2-6	$f (x) = x^{2} - 6$
24251	Find the Critical Points	f(x)=x^2-8x+4	$f (x) = x^{2} - 8 x + 4$
24252	Find the Critical Points	f(x)=x^3-5x	$f (x) = x^{3} - 5 x$
24253	Evaluate from the Left	limit as x approaches 4 of 1/(x-4)	$lim_{x \to 4} \frac{1}{x - 4}$
24254	Find the Critical Points	f(x)=x^3-6x^2+4	$f (x) = x^{3} - 6 x^{2} + 4$
24255	Evaluate Using the Squeeze Theorem	limit as x approaches 2 of f(x)	$lim_{x \to 2} f (x)$
24256	Find the Critical Points	f(x)=x^3-4x^2-3x+1	$f (x) = x^{3} - 4 x^{2} - 3 x + 1$
24257	Find the Critical Points	f(x)=x^3-3x^2-45x	$f (x) = x^{3} - 3 x^{2} - 45 x$
24258	Find the Critical Points	f(x)=x^3-3x^2-9x+1+10	$f (x) = x^{3} - 3 x^{2} - 9 x + 1 + 10$
24259	Find the Critical Points	f(x)=x^3-3x^2-24x+32	$f (x) = x^{3} - 3 x^{2} - 24 x + 32$
24260	Find the Critical Points	f(x)=x^3-3x^2+2	$f (x) = x^{3} - 3 x^{2} + 2$
24261	Find the Critical Points	f(x)=x^3-2x^2-4x+8	$f (x) = x^{3} - 2 x^{2} - 4 x + 8$
24262	Find the Critical Points	f(x)=x^3-3x^2-24x+1	$f (x) = x^{3} - 3 x^{2} - 24 x + 1$
24263	Find the Critical Points	f(x)=x^3-3x^2+6x+1	$f (x) = x^{3} - 3 x^{2} + 6 x + 1$
24264	Find the Critical Points	f(x)=x^3+3x^2-9x+5	$f (x) = x^{3} + 3 x^{2} - 9 x + 5$
24265	Find the Critical Points	f(x)=x^3+6x^2-36x	$f (x) = x^{3} + 6 x^{2} - 36 x$
24266	Find the Critical Points	f(x)=x^3-12x	$f (x) = x^{3} - 12 x$
24267	Find the Critical Points	f(x)=x^3-12x+19	$f (x) = x^{3} - 12 x + 19$
24268	Find the Critical Points	f(x)=-x^3+9x^2-51	$f (x) = - x^{3} + 9 x^{2} - 51$
24269	Find the Critical Points	f(x)=-x^3-12x^2	$f (x) = - x^{3} - 12 x^{2}$
24270	Find the Critical Points	f(x)=x^3-2x^2-15x+5	$f (x) = x^{3} - 2 x^{2} - 15 x + 5$
24271	Find the Critical Points	f(x)=x^3-12x+3	$f (x) = x^{3} - 12 x + 3$
24272	Find the Critical Points	f(x)=x^3-2x^2+x	$f (x) = x^{3} - 2 x^{2} + x$
24273	Find the Critical Points	f(x)=x^3-12x+8	$f (x) = x^{3} - 12 x + 8$
24274	Find the Critical Points	f(x)=x^3-15x	$f (x) = x^{3} - 15 x$
24275	Find the Critical Points	f(x)=x^3-12x-2	$f (x) = x^{3} - 12 x - 2$
24276	Find the Critical Points	f(x)=-x^3+10x^2-28x+22	$f (x) = - x^{3} + 10 x^{2} - 28 x + 22$
24277	Find the Critical Points	f(x)=(-x-6)/((x-6)^2)+9	$f (x) = \frac{- x - 6}{{(x - 6)}^{2}} + 9$
24278	Find the Critical Points	7sin(x)+7cos(x)	$7 \sin (x) + 7 \cos (x)$
24279	Find the Critical Points	8xy-x^3-4y^2	$8 x y - x^{3} - 4 y^{2}$
24280	Find the Critical Points	arctan(x)	$\arctan (x)$
24281	Find the Critical Points	9-x	$9 - x$
24282	Find the Critical Points	cos(y)=3/( square root of 34)*cot(x)=5/3	$\cos (y) = \frac{3}{\sqrt{34}} \cdot \cot (x) = \frac{5}{3}$
24283	Find the Critical Points	6x^3+x^2+6x	$6 x^{3} + x^{2} + 6 x$
24284	Find the Critical Points	4x^3-6x^2+1	$4 x^{3} - 6 x^{2} + 1$
24285	Find the Critical Points	6x^3-9x^2-108x	$6 x^{3} - 9 x^{2} - 108 x$
24286	Find the Critical Points	6x^4-24x^3-93x^2+360x+20	$6 x^{4} - 24 x^{3} - 93 x^{2} + 360 x + 20$
24287	Find the Critical Points	-64x^3+12x+3	$- 64 x^{3} + 12 x + 3$
24288	Find the Critical Points	6x-6	$6 x - 6$
24289	Find the Critical Points	6sin(x)+6cos(x)	$6 \sin (x) + 6 \cos (x)$
24290	Find the Critical Points	5x^2+60x+10	$5 x^{2} + 60 x + 10$
24291	Find the Critical Points	5sin(x)+5cos(x)	$5 \sin (x) + 5 \cos (x)$
24292	Find the Critical Points	4x^3+6x^2-72x	$4 x^{3} + 6 x^{2} - 72 x$
24293	Find the Critical Points	4x^3-48x	$4 x^{3} - 48 x$
24294	Find the Critical Points	4x^3-6x^2-72x	$4 x^{3} - 6 x^{2} - 72 x$
24295	Find the Critical Points	4x^3-48x-2	$4 x^{3} - 48 x - 2$
24296	Find the Critical Points	4x^3-12x^2+16	$4 x^{3} - 12 x^{2} + 16$
24297	Find the Critical Points	4x^2-128 square root of x	$4 x^{2} - 128 \sqrt{x}$
24298	Find the Critical Points	4x^3+24x^2	$4 x^{3} + 24 x^{2}$
24299	Find the Critical Points	4x^3+36x^2+72x+8	$4 x^{3} + 36 x^{2} + 72 x + 8$
24300	Find the Critical Points	3x^4-4x^3-12x^2+5	$3 x^{4} - 4 x^{3} - 12 x^{2} + 5$